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Finding the Fourth Proportional to 201,228.30, 301,842.45 and 107,916.30

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Solution

The fourth proportional to 201,228.30, 301,842.45 and 107,916.30 is: 161,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,228.30 : 301,842.45 = 107,916.30 : x
  2. Step 2: Convert to fraction form
    201,228.30/301,842.45 = 107,916.30/x
  3. Step 3: Cross multiply
    201,228.30x = 301,842.45 × 107,916.30
  4. Step 4: Simplify right side
    201,228.30x = 32,573,720,386.94
  5. Step 5: Solve for x
    x = 32,573,720,386.94/201,228.30
  6. Step 6: Final answer
    x = 161,874.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.